{"id":"https://openalex.org/W1991569137","doi":"https://doi.org/10.1145/2185632.2185660","title":"Efficient computation of generalized input-to-state \u2112 <sub>2</sub> -gains of discrete-time switched linear systems","display_name":"Efficient computation of generalized input-to-state \u2112 <sub>2</sub> -gains of discrete-time switched linear systems","publication_year":2012,"publication_date":"2012-04-17","ids":{"openalex":"https://openalex.org/W1991569137","doi":"https://doi.org/10.1145/2185632.2185660","mag":"1991569137"},"language":"en","primary_location":{"id":"doi:10.1145/2185632.2185660","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2185632.2185660","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003103429","display_name":"Vamsi Putta","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vamsi Kalyan Putta","raw_affiliation_strings":["Purdue University, West Lafayette,, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette,, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101844371","display_name":"Guangwei Zhu","orcid":"https://orcid.org/0000-0002-1400-442X"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guangwei Zhu","raw_affiliation_strings":["Purdue University, West Lafayette,, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette,, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035753295","display_name":"Jianghai Hu","orcid":"https://orcid.org/0000-0002-4250-8852"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianghai Hu","raw_affiliation_strings":["Purdue University, West Lafayette,, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette,, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013733463","display_name":"Jinglai Shen","orcid":"https://orcid.org/0000-0003-2172-4182"},"institutions":[{"id":"https://openalex.org/I126744593","display_name":"University of Maryland, Baltimore","ror":"https://ror.org/04rq5mt64","country_code":"US","type":"education","lineage":["https://openalex.org/I126744593"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jinglai Shen","raw_affiliation_strings":["University of Maryland, Baltimore, MD, USA","University of Maryland, Baltimore, Md., USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland, Baltimore, MD, USA","institution_ids":["https://openalex.org/I126744593"]},{"raw_affiliation_string":"University of Maryland, Baltimore, Md., USA","institution_ids":["https://openalex.org/I126744593"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"177","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.692586362361908},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5902649760246277},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5361416935920715},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5214090347290039},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5189220905303955},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4131397604942322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37511903047561646},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3684472143650055}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.692586362361908},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5902649760246277},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5361416935920715},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5214090347290039},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5189220905303955},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4131397604942322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37511903047561646},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3684472143650055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2185632.2185660","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2185632.2185660","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1552094772","https://openalex.org/W1661824700","https://openalex.org/W1999749320","https://openalex.org/W2058066200","https://openalex.org/W2062974796","https://openalex.org/W2067648245","https://openalex.org/W2079418000","https://openalex.org/W2084841342","https://openalex.org/W2084970142","https://openalex.org/W2129663947","https://openalex.org/W2130830957","https://openalex.org/W2140780564","https://openalex.org/W2145030746","https://openalex.org/W2155204276","https://openalex.org/W2163816227","https://openalex.org/W2165042063","https://openalex.org/W2498073803","https://openalex.org/W2598746244","https://openalex.org/W6631662511"],"related_works":["https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W2780079842","https://openalex.org/W814988660"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"an":[3],"efficient":[4,31],"way":[5],"to":[6,57],"compute":[7],"the":[8,16,48,59],"\u21122-gains":[9,24,40],"of":[10,18,23,50],"discrete-time":[11],"switched":[12],"linear":[13],"systems.":[14],"Using":[15],"notion":[17],"generating":[19],"functions,":[20],"generalized":[21,39],"versions":[22],"under":[25],"arbitrary":[26],"switching":[27],"are":[28,55],"studied.":[29],"An":[30],"numerical":[32],"algorithm":[33],"is":[34],"formulated":[35],"by":[36],"which":[37],"these":[38],"can":[41],"be":[42],"estimated.":[43],"The":[44],"proposed":[45],"method":[46],"mitigates":[47],"problem":[49],"conservative":[51],"bounds.":[52],"Numerical":[53],"examples":[54],"provided":[56],"illustrate":[58],"algorithm.":[60]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}